Question

According to the empirical rule, approximately what percentage of the area under a normal distribution lies within 1 standard deviation? % Within 2 standard deviations? % Within 3 standard deviations? %

Answer #1

There is no calculation required for this answer.

According to empirical formula, we know that 68% of the data fall within 1 standard deviation of the mean, 95% of the data fall within 2 standard deviation of the mean and 99.7% of the data fall within 3 standard deviation of the mean.

This image shows the percent wise distribution of data according to the empirical rule

**According to the empirical rule, approximately 68
percentage of the area under a normal distribution lies within 1
standard deviation, 95% Within 2 standard deviations and 99.7 %
Within 3 standard deviations.**

According to the Empirical rule, sometimes called the Normal
rule, for a symmetrical, bell shaped distribution of data, we will
find that approximately what percent of observations are contained
within plus and minus one standard deviation of the mean A. 50 B.
68 C. 75 D. 95

3. Under any normal distribution of scores, what percentage of
the total area falls…
Between the mean and a score that is one standard deviation
above the mean
Between the mean and two standard deviations below the
mean
Within one standard deviation of the mean
Within two standard deviations of the mean

1.
the area under the normal distribution curve that lies within one
standard deviation of the mean is approxiamtely ____%.
2. for a normal distribution curve with a mean of 10 and a
standard deviation of 5, what is the range of the variable thay
defines the area under the curve correaponding to a probability of
approximately 68%?
true or false:
3. a probability can be greater than one, but not equal to
zero.
4. quartiles are used in box...

1. About ____ % of the area under the curve of the standard
normal distribution is between z = − 1.863 z = - 1.863 and z =
1.863 z = 1.863 (or within 1.863 standard deviations of the
mean).
2. About ____ % of the area under the curve of the standard
normal distribution is outside the interval
z=[−2.24,2.24]z=[-2.24,2.24] (or beyond 2.24 standard deviations of
the mean).
3. About ____ % of the area under the curve of the...

1. The area under the standard normal that lies to the left of
2.24
2. The area under the standard normal that lies to the left of
-1.56
3. The area under the standard normal that lies to the right of
4.2
4. The area under the standard normal that lies to the right of
-1.07
5. The area under the standard normal that lies between 1.48 and
2.72

What is the empirical rule?
A rule for determining the average of a normal distribution
based on the standard deviation.
A rough estimate of how different the sample and population
means should be for the result to be statistically significant.
A guideline of how one should gather empirical data.
A calculation rule for the confidence interval.
None of these

Find the indicated area under the curve of the standard normal
distribution; then convert it to a percentage and fill in the
blank.
About ______% of the area is between
zequals=minus−3.5
and
zequals=3.5
(or within 3.5 standard deviations of the mean).
About
nothing%
of the area is between
zequals=minus−3.5
and
zequals=3.5
(or within 3.5 standard deviations of the mean).

Please explain how you compute these answers given for A,B,C.
Objective:Apply the empirical rule and the Chebyshev rule.
Consider a population of 1024 mutual funds that primarily invest in large companies You have determined that p, the mean one-year total percentage return achieved by all the funds, is 9.20 and that o, the standard deviation, is 1 25. Complete (a) through (c)
a. According to the empirical rule, what percentage of these funds is expected to be within ±3 standard...

According to the 68-95-99.7 Rule for normal distributions
approximately _____% of all values are within 1 standard deviation
of the mean

For a standard normal distribution, find the percentage of data
that are: a. within 1 standard deviation of the mean ____________%
b. between - 3 and + 3. ____________% c. between -1 standard
deviation below the mean and 2 standard deviations above the
mean

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